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1 of 10
Standard Form
Objective:
To be able to understand and
use standard form
Standard Form
x 10
A number between 1 and 10
(but not including 10)
A power of 10
Example
20000000000000000000000000
This number is HUGE!!It is much easier to write the
number in standard formx 10
A number between 1 and 10
(but not including 10)
A power of 102
25
Example
0.000000000000006
This number is Tiny!!It is much easier to write the
number in standard form
x 10
A number between 1 and 10
(but not including 10)
A power of 106
-15
Let’s try some together...
a) 900000
b) 78000000
c) 0.0000005
d) 0.00000123
YOUR TURN!
a) 7000
b) 86000
c) 340000000
d) 0.00000012
e) 0.056
f) 0.0000478
Multiply two numbers
4 x 1018
x 3 x 104
4 x 3 x 1018
x 104
Numbers Powers of 10
= 12 x 1022
ADD powers
= 1.2 x 101
x 1022
= 1.2 x 1023
NOT Std
Form!
Let’s try some together...
(2x 102
) x (4 x 105
)
(8 x 108
) x (2 x 10-5
)
(25 x 108
) ÷ (5 x 102
)
Try these....
1. (3 x 104
) x (2 x 105
)
2. (4 x 103
) x (3 x 105
)
3. (7 x 104
) x (2 x 10-3
)
4. (8 x 106
) ÷ (2 x 102
)
5. (20 x 104
) ÷ (4 x 108
)
BINGO

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Standardform